The generator matrix

 1  0  0  0  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1  X 2X  1  1  1  1  1  1  X 2X 2X  1 2X  X  1  1  1  1  1  1  1  1  1 2X
 0  1  0  0 2X  0  X  X 2X 2X 2X 2X 2X+1  1  1 2X+2 2X+1 X+1 X+1  2  1  2  1  1  1 2X+2  2 X+1  X  2  1  1 2X  X  0  1 2X+2 2X+1  2 2X+2 2X+2  2 X+1 X+2 X+1  1
 0  0  1  0  0  X 2X+1  2 2X+1  2 X+1 X+2 2X+2  2  X  1  0 X+1  1 2X+2  1 2X+1 X+2  2 2X 2X+2  1  0  X X+2 X+1  1  1 X+1  1 2X  X X+2 X+1  X  2 2X 2X  1  2 X+1
 0  0  0  1 2X+1 2X+2 2X+1  1 2X+2  0  X  2 X+2 X+1 2X+2 2X+1 X+1 2X  2 2X+1  1 2X  1  X 2X  2 X+2 2X+2 2X+2  X  0  1 X+1  X X+2 X+1  0 2X+1 2X+2 2X+1 X+2 2X  X  X 2X  0

generates a code of length 46 over Z3[X]/(X^2) who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+330x^83+270x^84+690x^86+378x^87+816x^89+466x^90+906x^92+336x^93+642x^95+318x^96+558x^98+274x^99+312x^101+114x^102+108x^104+24x^105+12x^107+6x^108

The gray image is a linear code over GF(3) with n=138, k=8 and d=83.
This code was found by Heurico 1.16 in 0.453 seconds.